#include #include using namespace std; using namespace atcoder; typedef long long int ll; typedef long double ld; typedef vector vi; typedef vector vl; typedef vector vvl; typedef vector vvvl; typedef vector vvvvl; typedef vector vb; typedef vector vvb; typedef vector vvvb; typedef vector vvvvb; typedef pair pl; typedef pair ppl; typedef pair pppl; typedef pair pppppl; #define rep(i,a,b) for(int i=(a);i<(b);i++) #define rrep(i,a,b) for(int i=(b)-1;i>=(a);i--) #define all(a) begin(a),end(a) #define sz(a) (int)(a).size() #define F first #define S second #define bs(A,x) binary_search(all(A),x) #define lb(A,x) (ll)(lower_bound(all(A),x)-A.begin()) #define ub(A,x) (ll)(upper_bound(all(A),x)-A.begin()) #define cou(A,x) (ll)(upper_bound(all(A),x)-lower_bound(all(A),x)) templateusing min_priority_queue=priority_queue,greater>; templatebool chmax(T&a,T b){if(abool chmin(T&a,T b){if(b vm; typedef vector vvm; typedef vector vvvm; typedef vector vvvvm; ostream&operator<<(ostream&os,mint a){os<>(istream&is,mint&a){int x;is>>x;a=mint(x);return is;} //*/ templateostream&operator<<(ostream&os,pairp){os<istream&operator>>(istream&is,pair&p){is>>p.F>>p.S;return is;} templateostream&operator<<(ostream&os,vectorv){rep(i,0,sz(v))os<istream&operator>>(istream&is,vector&v){for(T&in:v)is>>in;return is;} #include #include using Bint=boost::multiprecision::cpp_int; using Rat=boost::rational; int main(){ cin.tie(0)->sync_with_stdio(0); cin.exceptions(cin.failbit); ll N,M;cin>>N>>M; vector>>E(N); rep(i,0,M){ ll u,v,a,b;cin>>u>>v>>a>>b;u--;v--; E[u].emplace_back(v,Rat(a,b)); E[v].emplace_back(u,Rat(a,b)); } vectorD(N,Rat(mod,1)); D[0]=Rat(0,1); min_priority_queue>Q; Q.emplace(D[0],0); while(sz(Q)){ auto[d,v]=Q.top();Q.pop(); if(D[v]!=d)continue; for(auto[u,w]:E[v])if(chmin(D[u],d+w))Q.emplace(D[u],u); } rep(i,1,N)cout<